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Finding the Third Proportional to 66.45 and 145.71

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Solution

The third proportional to 66.45 and 145.71 is: 319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.45 : 145.71 = 145.71 : x
  2. Step 2: Convert to fraction form
    66.45/145.71 = 145.71/x
  3. Step 3: Cross multiply
    66.45x = 145.71 × 145.71
  4. Step 4: Simplify right side
    66.45x = 21,229.97
  5. Step 5: Solve for x
    x = 21,229.97/66.45
  6. Step 6: Final answer
    x = 319.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.